A glimpse of what went before…

Ellipse

Standard Form with Center at (0,0)

Standard Form with Center at (0,0)

122

2

b

y

a

x

Standard Form with Center at (h,k)

Standard Form with Center at (h,k)

1)()(

2

2

2

2

b

ky

a

hx

Vertex

a

b

Focus

cMAI

Properties denoted…

Special Relations

222 bac

a

bLR

22

a

ce

The HyperbolaVertex

a

Focus

c

Properties denoted…

Conjugate Axis

Intercepts

b

Conjugate Axis

Transverse Axis

VV’ FF’

Standard Form with Center at (0,0)

Standard Form with Center at (0,0)

12

2

2

2

b

y

a

x

Special Relations

a

bLR

22

a

ce

222 bac

Case 1 Equation of the Asymptote:

xa

by

Case 2 Equation of the Asymptote:

xb

ay

Drill:

Discuss and sketch the graph of the hyperbola

64164 22 yx